Extensions 1→N→G→Q→1 with N=C₄ and Q=C₉⋊C₁₂

Direct product G=N×Q with N=C₄ and Q=C₉⋊C₁₂

		d	ρ	Label	ID
C₄×C₉⋊C₁₂		144		C4xC9:C12	432,144

Semidirect products G=N:Q with N=C₄ and Q=C₉⋊C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₉⋊C₁₂) = C₃₆⋊C₁₂	φ: C₉⋊C₁₂/C₂×3_-¹⁺² → C₂ ⊆ Aut C₄	144		C4:(C9:C12)	432,146

Non-split extensions G=N.Q with N=C₄ and Q=C₉⋊C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₉⋊C₁₂) = C₃₆.C₁₂	φ: C₉⋊C₁₂/C₂×3_-¹⁺² → C₂ ⊆ Aut C₄	72	6	C4.(C9:C12)	432,143
C₄.₂(C₉⋊C₁₂) = C₉⋊C₄₈	central extension (φ=1)	144	6	C4.2(C9:C12)	432,31
C₄.₃(C₉⋊C₁₂) = C₂×C₉⋊C₂₄	central extension (φ=1)	144		C4.3(C9:C12)	432,142

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Extensions 1→N→G→Q→1 with N=C4 and Q=C9⋊C12